reserve a,b,c,d,a9,b9,c9,d9,y,x1,u,v for Real,
  s,t,h,z,z1,z2,z3,s1,s2,s3 for Complex;

theorem
  (for z holds Polynom(z1,z2,z3,z) = Polynom(s1,s2,s3,z)) implies z1 =
  s1 & z2 = s2 & z3 = s3
proof
  assume
A1: for z holds Polynom(z1,z2,z3,z) = Polynom(s1,s2,s3,z);
  then
A2: Polynom(z1,z2,z3,-1r) = Polynom(s1,s2,s3,-1r);
  Polynom(z1,z2,z3,0c) = Polynom(s1,s2,s3,0c) & Polynom(z1,z2,z3,1r) =
  Polynom (s1,s2,s3,1r) by A1;
  hence thesis by A2,COMPLEX1:def 4;
end;
